Let’s solve each problem step by step. Remember: to add fractions with different denominators, we first find the Lowest Common Multiple (LCM) of the denominators, then rewrite both fractions with that common denominator, and finally add the numerators.
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Problem 1:
$\frac{1}{2} + \frac{1}{6}$
- Denominators: 2 and 6 → LCM is 6
- Convert $\frac{1}{2}$ to sixths: $\frac{1}{2} = \frac{3}{6}$
- Now add: $\frac{3}{6} + \frac{1}{6} = \frac{4}{6}$
- Simplify: $\frac{4}{6} = \frac{2}{3}$
✔ Final Answer for #1: $\frac{2}{3}$
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Problem 2:
$\frac{2}{5} + \frac{1}{2}$
- Denominators: 5 and 2 → LCM is 10
- Convert $\frac{2}{5}$: $\frac{2}{5} = \frac{4}{10}$
- Convert $\frac{1}{2}$: $\frac{1}{2} = \frac{5}{10}$
- Add: $\frac{4}{10} + \frac{5}{10} = \frac{9}{10}$
✔ Final Answer for #2: $\frac{9}{10}$
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Problem 3:
$\frac{3}{4} + \frac{1}{8}$
- Denominators: 4 and 8 → LCM is 8
- Convert $\frac{3}{4}$: $\frac{3}{4} = \frac{6}{8}$
- Add: $\frac{6}{8} + \frac{1}{8} = \frac{7}{8}$
✔ Final Answer for #3: $\frac{7}{8}$
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Problem 4:
$\frac{1}{2} + \frac{1}{4}$
- Denominators: 2 and 4 → LCM is 4
- Convert $\frac{1}{2}$: $\frac{1}{2} = \frac{2}{4}$
- Add: $\frac{2}{4} + \frac{1}{4} = \frac{3}{4}$
✔ Final Answer for #4: $\frac{3}{4}$
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Problem 5:
$\frac{3}{5} + \frac{1}{3}$
- Denominators: 5 and 3 → LCM is 15
- Convert $\frac{3}{5}$: $\frac{3}{5} = \frac{9}{15}$
- Convert $\frac{1}{3}$: $\frac{1}{3} = \frac{5}{15}$
- Add: $\frac{9}{15} + \frac{5}{15} = \frac{14}{15}$
✔ Final Answer for #5: $\frac{14}{15}$
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Problem 6:
$\frac{2}{3} + \frac{1}{6}$
- Denominators: 3 and 6 → LCM is 6
- Convert $\frac{2}{3}$: $\frac{2}{3} = \frac{4}{6}$
- Add: $\frac{4}{6} + \frac{1}{6} = \frac{5}{6}$
✔ Final Answer for #6: $\frac{5}{6}$
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Final Answer:
1. $\frac{2}{3}$
2. $\frac{9}{10}$
3. $\frac{7}{8}$
4. $\frac{3}{4}$
5. $\frac{14}{15}$
6. $\frac{5}{6}$
Parent Tip: Review the logic above to help your child master the concept of worksheet adding subtracting fractions unlike denominators pdf.
